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The Topology of Fibre Bundles by Norman Steenrod is a nonfiction available to read on EtoBox.

What is The Topology of Fibre Bundles about?

I. The General Theory of Bundles 1. Introduction 2. Coordinate Bundles and Fibre Bundles 3. Construction of a Bundle from Coordinate Transformations 4. The Product Bundle 5. The Ehresmann-Feldbau Definition of Bundle 6. Differentiable Manifolds and Tensor Bundles 7. Factor Spaces of Groups 8. The Principal Bundle and the Principal Map 9. Associated Bundles and Relative Bundles 10. The Induced Bundle 11. Homotopies of Maps of Bundles 12. Construction of Cross-Sections 13. Bundles Having a Totally Disconnected Group 14. Covering Spaces II. The Homotopy Theory of Bundles 15. Homotopy Groups 16. The Operations of π1 on πn 17. The Homotopy Sequence of a Bundle 18. The Classification of Bundles over the n-Sphere 19. Universal Bundles and the Classification Theorem 20. The Fibering of Spheres by Spheres 21. The Homotopy Groups of Spheres 22. Homotopy Groups of the Orthogonal Groups 23. A Characteristic Map for the Bundle Rn+1 over Sn 24. A Characteristic Map for the Bundle Un over S2n−1 25. The Homotopy Groups of Miscellaneous Manifolds 26. Sphere Bundles over Spheres 27. The Tangent Bundle of Sn 28. On the Non-Existence of Fiberings of Spheres by Spheres III. The Cohomology Theory of Bun

Who reads The Topology of Fibre Bundles?

Author

Norman Steenrod

Publisher

Princeton University Press

Published

1951

Language

EN

Category

nonfiction